Question

Question in the picture. Awnser choices below (Select all that apply) \/\/A) The slope of function K is 2 times the slope of function M. B)The slope of function K is the same as the slope of function M C)The y-intercept of function K is 2 times the y-intercept of function M. D)The y-intercept of function K is 3 more than the y-intercept of function M E)The y-intercept of function K is 4 more than the y-intercept of function M.

Answer 1

Given data:

The given table is shown.

The given equation of the second function is y= 3/2 x+1.

The equaton line passing through the points (-2, -2) and (-1, 1) is,

`\begin{gathered} (y+2)=(1-(-2))/(-1-(-2))(x+2) \\ y+2=(3)/(1)(x+2) \\ y=3x+4 \end{gathered}`

The slope of above line is 3 and intercept is 4.

The standard equation of the line is,

`y=m^(\prime)x+c`

Compare the equation of the second function with the above equation.

`m^(\prime)=(3)/(2)`

It means

`m=2m^(\prime)`

The y-intercept of K function is 4 and y intercept of M function is 1.

Thus, the correct option is (A) and (D).